Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate

1976 ◽  
Vol 14 (7) ◽  
pp. 639-646 ◽  
Author(s):  
Goodarz Ahmadi
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Infinite Plate ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Self Similar ◽  
Layer Flow

Experimental Investigation of the Laminar Boundary Layer Flow on a Rotating Wavy Disk

2016 ◽  
Author(s):  
Christian Helcig ◽  
Christian Teigeler ◽  
Stefan aus der Wiesche
Keyword(s):  
Boundary Layer ◽  
Exact Solution ◽  
Laminar Flow ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flow ◽  
Similar Solution ◽  
Surface Shape ◽  
Self Similar Solution ◽  
Self Similar ◽  
Layer Flow

Since nearly one century, the flow on a flat rotating disk has provided the paradigm for studying rotating flows. For the laminar flow regime, a self-similar solution was obtained by von Kármán [6] in 1921, and a rather special feature of his exact solution of the Navier-Stokes equation is a constant boundary layer thickness not depending on the radial coordinate. A substantial modification of this canonical configuration is given by a wavy disk with a sinusoidal surface shape. Although axis-symmetric, no exact solution for the laminar flow on a wavy disk is known so far. In this study, detailed measurements of the velocity profiles were performed within the laminar boundary layer flow on a wavy disk. Based upon the experimental data, the potential of a self-similar solution approach for describing the resulting flow field was assessed. It was found that such an approach is useful for approximating the far-field solution but systematic deviations were observed in the vicinity of the disk origin.

Analytical Approach of Unsteady Boundary-Layer Flows Over a Semi-Infinite Plate for All Strouhal Numbers

2010 ◽  
Vol 78 (2) ◽  
Author(s):  
Mohamed Bachiri ◽  
Ahcene Bouabdallah
Keyword(s):  
Boundary Layer ◽  
Strouhal Number ◽  
Boundary Layer Flow ◽  
Ad Hoc ◽  
Infinite Plate ◽  
Unsteady Boundary Layer ◽  
Boundary Layer Flows ◽  
Local Skin ◽  
Analytic Expressions ◽  
Layer Flow

In this paper, the unsteady boundary-layer flow over a semi-infinite flat plate is solved by means of an analytic approach. Via an ad hoc technique based on the boundary-layer flow evolution, an analytic expression of the velocity profile is proposed. The proposed formula verifies well the results given by Rayleigh, Blasius, and Williams–Rhyne for all time, thus for all Strouhal number values, which is the characteristic of the studied problem. As the main results, the local skin friction depending on a Strouhal number is given in an aim to show an explanation on the flow evolutions from the initial solution to the steady solution in the whole spatial region. This approach permits us to take many applications in engineering technology when the analytic expressions of the velocity, temperature, and matter are looked for.

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